20-24 November's Journal

   Diving into randomness and probability in this week's classes felt like stepping into a complex puzzle world since I wasn't feeling confident about them in the first place. Before, randomness seemed mysterious, but now it's more apparent – it's about dealing with the unknown. It's those situations where predicting what comes next feels like staring into a crystal ball that's lost its magic. Now, I see randomness as a realm where patterns just don't play. Trying to compare two random things was quite an adventure. How do you even compare something impossible to measure? We can measure variability, but then randomness adds this uncertainty factor. It's like trying to grab onto a cloud – you sense it, but it slips away.

The idea that something can be "less variable" but not "less uncertain" is a bit like walking a tightrope. It's tricky, and I'm still figuring it out. It's similar to comparing apples and oranges, but these apples and oranges are dancing to their own unpredictable tunes.

The hot-hand fallacy discussion was interesting. Believing that a winning streak predicts more wins is very human. We like finding order in chaos, but randomness doesn't follow those rules. It was enlightening to realize that a streak doesn't mean someone's figured out how to beat randomness. It's like trying to find meaning in random doodles.

In the end, randomness and probability are the less structured side of math. It's not about rules; it's about navigating the chaos and finding some beauty in the unknown.

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